Theorems · Theorem · number theory
approxAddOrderOf.vadd_subset_of_coprime
∀ {A : Type u_1} [inst : SeminormedAddCommGroup A] {a : A} {n : ℕ} (δ : ℝ),
(addOrderOf a).Coprime n → a +ᵥ approxAddOrderOf A n δ ⊆ approxAddOrderOf A (addOrderOf a * n) δ- Defined in
- Mathlib.NumberTheory.WellApproximable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- Set.ofPredproof · cited by 6,101
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Set.iUnionproof · cited by 2,483
- HVAdd.hVAddstatement and proof · cited by 1,820
- Metric.ballproof · cited by 735
- Set.vaddSetstatement · cited by 403
- Set.iUnion_congr_Propproof · cited by 374
- Set.mem_iUnionproof · cited by 212
- addOrderOfstatement and proof · cited by 208
- AddCommute.allproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- AddCircle.addWellApproximable_ae_empty_or_univproof · cited by 0